1/10+4/20+9/30+16/40+25/50+36/60+49/70+64/80+81/90

1/10+4/20+9/30+16/40+25/50+36/60+49/70+64/80+81/90

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  1. $\frac{1}{10}+\frac{4}{20}+\frac{9}{30}+\frac{16}{40}+\frac{25}{50}+\frac{36}{60}+\frac{49}{70}+\frac{64}{80}+\frac{81}{90}$

    $=\frac{3}{10}+\frac{9}{30}+\frac{16}{40}+\frac{25}{50}+\frac{36}{60}+\frac{49}{70}+\frac{64}{80}+\frac{81}{90}$

    $=\frac{3}{5}+\frac{16}{40}+\frac{25}{50}+\frac{36}{60}+\frac{49}{70}+\frac{64}{80}+\frac{81}{90}$

    $=1+\frac{25}{50}+\frac{36}{60}+\frac{49}{70}+\frac{64}{80}+\frac{81}{90}$

    $=\frac{3}{2}+\frac{36}{60}+\frac{49}{70}+\frac{64}{80}+\frac{81}{90}$

    $=\frac{21}{10}+\frac{49}{70}+\frac{64}{80}+\frac{81}{90}$

    $=\frac{14}{5}+\frac{64}{80}+\frac{81}{90}$

    $=\frac{18}{5}+\frac{81}{90}$

    $=\frac{9}{2}$

     

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